For any preselected candidate \(H\)  for Hamiltonian the
constraint (REF ) can be read as specifying an amended,
alternative, correct and physical inner product in Hilbert space
\({\cal H}_{phys}\)  [1]}. For this reason, the well known Stone
theorem [2]} is not violated because the unitary evolution
of the system is in fact generated, by non-Hermitian \(H\) , in the
auxiliary Hilbert space \({\cal H}_{math}\) . This space is not
equivalent to its physical partner \({\cal H}_{phys}\) . Thus, one
should rather call \(H\)  crypto-Hermitian [3]}.
